Certificate for #5385 ⟨a, b, c | ab=a, bcac=c⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bcac=c.

Referenced by [3], [4], [5].

Overlap of [1] ab=a with [2] bcac=c:

Critical pair: ac=acac.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bcac=c with [3] acac=ac:

Critical pair: bcac=cac.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [2] bcac=c with [4] cac=c:

Critical pair: bc=c.

Defines rule #2.